Duan shu-jin, Nakagawa Ken-ji. Stress Functions for Central Straight Cracked Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1988, 9(6): 491-498.
Citation: Duan shu-jin, Nakagawa Ken-ji. Stress Functions for Central Straight Cracked Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1988, 9(6): 491-498.

Stress Functions for Central Straight Cracked Anisotropic Plates

  • Received Date: 1987-01-12
  • Publish Date: 1988-06-15
  • In this paper, the plane problem for an anisotropic plate with a central straight crack in any direction is solved. The stress functions are given to represent the finite stress concentrations near the crack tips by the weight integral methcd. It shows that there is no stress singularity at the crack tip. The model can be used to appropriate to fracture mechanics for non-metallic materials.
  • loading
  • [1]
    Kaplan,M.F.,Crack propagation and the fracture of concrete,Journal of ACT,58,5(1961),591-610.
    Hillerborg,A.et al.,Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements,Cement and Concrete Research,6(1976),773-782.
    Bear,T.J.and B.Barr,Fracture toughness tests of concrete,Inter.J.of Fracture,13(1977),92-96.
    Brown,J.H.and C.D.Pomeroy,Fracture toughness of cement paste and mortars,Cement and Concrete Research,3(1973),475-480.
    Bazant,Z.P.and C.Cedolin,Blunt crack band propagation in finite element analysis,J.of the Eng.Mech.Divi.,ASCE,105,EM2(1979),297-315.
    Carpinteri,A.,Application of fracture mechanics to concrete structures,J.of the Structural Divi.,ASCE,108,ST_4(1982),833-848.
    Cho,K.Z.et al.,Fracture process zone of concrete cracks,J.of Eng.Mech.,ASCE,110,8(1984),1174-1184.
    Wium,D.J.W.et al.,Hybrid model for discrete cracks in concrete,J.of Eng.Mech.,ASCE,110,8(1984),1211-1229.
    Visalvanich,K.and A.E.Naaman,Fracture model for fiber reinforced concrete,ACT Journal,Title No.84-14,(1983),128-138.
    Hillerborg,A.,Analysis of fracture by means of the fictitious crack model,particularly for fiber reinforced concrete,Inter.J.of Cement Composites,2,4(1980),177-184.
    Barenblatt,G.I.,The formation of equilibrium cracks during brittle fracture,general ideas and hypotheses,axially-symmetric cracks,PMM,28,3(1959),434-444.
    Dugdale,D.S.,Yielding of steel sheets containing slits,J.of Mech.and Physics of Solids,8(1960),100-104.
    Reinhardt,H.W.,Crack softening zone in plain concrete under static loading,Cement and Concrete Research,15(1985),42-52.
    Reinhardt,H.W.,Plain concrete modeled as an elastic strain-softening material at fracture,Eng.Fracture Mech.,22,5(1985),787-796.
    Westergaard,H.W.,Bearing pressures cracks,J.of Applied Mechanics,Transactions of the ASME(1939),A-49-A-53.
    Wang,S.S.et al.,A mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity,Inter.J.of Fracture,16,3(1980),247-259.
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1712) PDF downloads(542) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint